Volume of Cylinders, Cones, Spheres

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

What shape has a constant radius from its center to any point on its surface?

Back

Sphere.

Front

If a cylinder has a radius of 5 cm and a height of 10 cm, what is its volume?

Back

Volume = π(5)²(10) = 250π ≈ 785.4 cm³.

Front

Which has a larger volume: a cylinder with a radius of 3 cm and height of 10 cm or a cylinder with a radius of 4 cm and height of 5 cm?

Back

The first cylinder has a volume of 90π cm³, and the second has a volume of 80π cm³. The first cylinder is larger.

Front

What is the volume of a cone with a radius of 3 cm and height of 9 cm?

Back

Volume = (1/3)π(3)²(9) = 27π ≈ 84.8 cm³.

Front

What is the volume of a sphere with a radius of 4 cm?

Back

Volume = (4/3)π(4)³ = (4/3)π(64) ≈ 268.1 cm³.

Front

What is the relationship between the volume of a cylinder and a cone with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.

Front

If the radius of a cylinder is doubled, how does its volume change?

Back

The volume increases by a factor of four.